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2341113214440 = 233571113371314021
BaseRepresentation
bin100010000100010101001…
…110001011010111101000
322021210211012112120100010
4202010111032023113220
5301324044440330230
64551254221011520
7331065652662360
oct42042516132750
98253735476303
102341113214440
11822951416660
123198820b3ba0
1313c9c5c71bb0
148144bd7b9a0
1540d6ec699b0
hex2211538b5e8

2341113214440 has 1024 divisors, whose sum is σ = 9761158471680. Its totient is φ = 433465344000.

The previous prime is 2341113214361. The next prime is 2341113214463. The reversal of 2341113214440 is 444123111432.

It is a happy number.

It is a super-2 number, since 2×23411132144402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2341113214398 and 2341113214407.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 582219630 + ... + 582223650.

It is an arithmetic number, because the mean of its divisors is an integer number (9532381320).

Almost surely, 22341113214440 is an apocalyptic number.

2341113214440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2341113214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880579235840).

2341113214440 is an abundant number, since it is smaller than the sum of its proper divisors (7420045257240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2341113214440 is a wasteful number, since it uses less digits than its factorization.

2341113214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 2341113214440 its reverse (444123111432), we get a palindrome (2785236325872).

The spelling of 2341113214440 in words is "two trillion, three hundred forty-one billion, one hundred thirteen million, two hundred fourteen thousand, four hundred forty".